Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Subdivide an interval such that the ratio of subsequent elements is constant
ResourceFunction["PowerSubdivide"][xmax,n] generates the list of values obtained by subdiving the interval from 1 to xmax into n parts such that the ratio of subsequent elements is constant. |
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ResourceFunction["PowerSubdivide"][xmin,xmax,n] generates the list of values obtained by subdiving the interval from xmin to xmax into n parts such that the ratio of subsequent elements is constant. |
Subdivide the range 10–10000 in three steps:
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With two arguments, the start of the sequence is assumed to be 1:
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PowerSubdivide can also perform on symbolic entries:
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xmin can be larger than xmax:
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Choosing points logarithmically is useful for plotting on a logarithmic scale:
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The ratio between subsequent values is constant:
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PowerSubdivide is related to Subdivide:
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Negative and positive end points result in intermediate values in the complex plane:
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Calculate the geometric mean of two values:
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Compare to the built-in function:
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If the start or end is a negative number, intermediate values might be complex numbers:
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If both end points are negative real numbers, Chop might be needed to remove approximate zeros:
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Because Log[0] equals -∞, all but the last entry will be 0:
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Connect pairs of random complex numbers:
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